138996461440
138,996,461,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 138996461440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 256 divisors.
138996461440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 138996461440:
27 × 5 × 37 × 47 × 71 × 1759
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 37 × 47 × 71 × 1759)See below for interesting mathematical facts about the number 138996461440 from the Numbermatics database.
Names of 138996461440
- Cardinal: 138996461440 can be written as One hundred thirty-eight billion, nine hundred ninety-six million, four hundred sixty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3899646144 × 1011
Factors of 138996461440
Divisors of 138996461440
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 8 10 16 20 32 37 40 47 64 71 74 80 94 128 142 148 160 185 188 235 284 296 320 355 370 376 470 568 592 640 710 740 752 940 1136 1184 1420 1480 1504 1739 1759 1880 2272 2368 2627 2840 2960 3008 3337 3478 3518 3760 4544 4736 5254 5680 5920 6016 6674 6956 7036 7520 8695 8795 9088 10508 11360 11840 13135 13348 13912 14072 15040 16685 17390 17590 21016 22720 23680 26270 26696 27824 28144 30080 33370 34780 35180 42032 45440 52540 53392 55648 56288 65083 66740 69560 70360 82673 84064 105080 106784 111296 112576 123469 124889 130166 133480 139120 140720 165346 168128 210160 213568 222592 225152 246938 249778 260332 266960 278240 281440 325415 330692 336256 413365 420320 427136 493876 499556 520664 533920 556480 562880 617345 624445 650830 661384 826730 840640 987752 999112 1041328 1067840 1112960 1125760 1234690 1248890 1301660 1322768 1653460 1681280 1975504 1998224 2082656 2135680 2469380 2497780 2603320 2645536 3058901 3306920 3951008 3996448 4165312 4620893 4938760 4995560 5206640 5291072 5869783 6117802 6613840 7902016 7992896 8330624 9241786 9877520 9991120 10413280 10582144 11739566 12235604 13227680 15294505 15804032 15985792 18483572 19755040 19982240 20826560 23104465 23479132 24471208 26455360 29348915 30589010 36967144 39510080 39964480 41653120 46208930 46958264 48942416 52910720 58697830 61178020 73934288 79020160 79928960 92417860 93916528 97884832 117395660 122356040 147868576 184835720 187833056 195769664 217181971 234791320 244712080 295737152 369671440 375666112 391539328 434363942 469582640 489424160 591474304 739342880 751332224 868727884 939165280 978848320 1085909855 1478685760 1737455768 1878330560 1957696640 2171819710 2957371520 3474911536 3756661120 4343639420 6949823072 8687278840 13899646144 17374557680 27799292288 34749115360 69498230720 138996461440
- Sum of all divisors σ(n): 353640038400
- Sum of proper divisors (its aliquot sum) s(n): 214643576960
- 138996461440 is an abundant number, because the sum of its proper divisors (214643576960) is greater than itself. Its abundance is 75647115520
Bases of 138996461440
- Binary: 100000010111001101010110101111100000002
- Hexadecimal: 0x205CD5AF80
- Base-36: 1RUQWK1S
Squares and roots of 138996461440
- 138996461440 squared (1389964614402) is 19320016292841406873600
- 138996461440 cubed (1389964614403) is 2685413899668102358541693353984000
-
The
square root of 138996461440 is 372822.2920373727 -
The
cube root of 138996461440 is 5180.0575099333
Scales and comparisons
How big is 138996461440?- 138,996,461,440 seconds is equal to 4,419 years, 34 weeks, 1 day, 8 hours, 10 minutes, 40 seconds.
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To count from 1 to 138,996,461,440 would take you about eight thousand, eight hundred thirty-nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138996461440 cubic inches would be around 431.7 feet tall.
Recreational maths with 138996461440
- 138996461440 backwards is 044164699831
- The number of decimal digits it has is: 12
- The sum of 138996461440's digits is 55
- More coming soon!
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